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math.NT2026
A Tannakian description of the local Kaletha gerbe
Alexander Bertoloni Meli, Peter Dillery
We construct, for a -adic field , an explicit semisimple Tannakian category whose category of fiber functors recovers Kaletha's Galois gerbe $\mathcal{E}…
math.NT2021★ 1 cited
An averaging formula for the cohomology of PEL-type Rapoport--Zink spaces
Alexander Bertoloni Meli
We prove under certain assumptions a formula for the cohomology of PEL-type Rapoport--Zink spaces that "averages" over the Kottwitz set. Our formula generalizes that of Shin's beyo…
math.NT2020
An Approach to the Characterization of the Local Langlands Correspondence
Alexander Bertoloni Meli, Alex Youcis
In this paper, we give a method for characterizing the local Langlands conjectures in the vein of Scholze's alternate proof of the local Langlands conjecture for . M…